Geodesic
On the dependence of the Bergman function on deformations of the Hartogs domain
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 287-300.

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We apply the Rudin idea to represent the Bergman kernel of the Hartogs domain as the sum of a series of weighted Bergman functions in the study of the dependence of this kernel on deformations of the domain. We prove that the Bergman function depends smoothly on the function defining the Hartogs domain.
DOI : 10.4064/ap-55-1-287-300

Zbigniew Pasternak-Winiarski 1

1 
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Zbigniew Pasternak-Winiarski. On the dependence of the Bergman function on deformations of the Hartogs domain. Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 287-300. doi : 10.4064/ap-55-1-287-300. http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-287-300/

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